The number 76998
76998 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 313. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 246, 313, 626, 939, 1878, 12833, 25666, 38499, 76998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76998 is composite. Its prime factorisation is
- 3
The divisors add up to 158256; without 76998 itself that is 81258, so 76998 is abundant (81258 is more than 76998). Euler's totient φ(76998) = 24960 numbers up to 76998 share no factor with it.
- 4
The digits of 76998 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76998 = 2 \times 3 \times 41 \times 313 \]
76998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 158256 |
| Euler totient φ(n) | 24960 |
| Square | 5928692004 |
| Cube | 456497426923992 |
| Square root | 277.485135 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.6998 × |
76998 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and ninety-eight |
| Binary (base 2) | 10010110011000110 |
| Octal (base 8) | 226306 |
| Hexadecimal (base 16) | 12CC6 |
| Base 3 | 10220121210 |
| As time | 76998 seconds = 21 h 23 min 18 s |
Is 76998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76998 ÷ 2 = 38499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76998 ÷ 3 = 25666) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76998 ÷ 6 = 12833) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76998 a prime number?
No. 76998 = 2 × 3 × 41 × 313, so it is divisible by 2.
What are the factors of 76998?
1, 2, 3, 6, 41, 82, 123, 246, 313, 626, 939, 1878, 12833, 25666, 38499, 76998.
What is 76998 in binary?
10010110011000110 (hexadecimal 12CC6, octal 226306).
What is the square root of 76998?
About 277.4851.
Is 76998 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 76998?
It is a composite number with 16 divisors.